I clean it just like I normally do after a day in the field (ie REALLY GOOD) and then do one additional thing I don't do usually -- pull the action from the stock and clean/oil it.

I know some people pull the scope and mounts to clean the nooks and crannies and underneath, I've never done that. Sighting in is a chore. In all the times I've pulled scopes to replace or swap, I've never noticed any rust or corrosion resulting from skipping that step.